1. beeline -- (the most direct route; "he made a beeline for the bathroom")

1.

Could he walk in a beeline if he hadn't that cane Bloodless pious face like a fellow going in to be a priest. - from Ulysses by James Joyce

2.

Discussing these and kindred topics they made a beeline across the back of the Customhouse and passed under the Loop Line bridge where a brazier of coke burning in front of a sentrybox or something like one attracted their rather lagging footsteps. - from Ulysses by James Joyce